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Finding the Fourth Proportional to 9,766.80, 13,473 and 7,405.04

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Solution

The fourth proportional to 9,766.80, 13,473 and 7,405.04 is: 10,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.80 : 13,473 = 7,405.04 : x
  2. Step 2: Convert to fraction form
    9,766.80/13,473 = 7,405.04/x
  3. Step 3: Cross multiply
    9,766.80x = 13,473 × 7,405.04
  4. Step 4: Simplify right side
    9,766.80x = 99,768,103.92
  5. Step 5: Solve for x
    x = 99,768,103.92/9,766.80
  6. Step 6: Final answer
    x = 10,215.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.